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Finding the Fourth Proportional to 286,202.72, 394,944.31 and 158,870.11

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Solution

The fourth proportional to 286,202.72, 394,944.31 and 158,870.11 is: 219,232.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,202.72 : 394,944.31 = 158,870.11 : x
  2. Step 2: Convert to fraction form
    286,202.72/394,944.31 = 158,870.11/x
  3. Step 3: Cross multiply
    286,202.72x = 394,944.31 × 158,870.11
  4. Step 4: Simplify right side
    286,202.72x = 62,744,845,031.68
  5. Step 5: Solve for x
    x = 62,744,845,031.68/286,202.72
  6. Step 6: Final answer
    x = 219,232.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.